Mikolaj Strachocki and Wasyl Strachocki, both age 37, both from Ordcdiow, Austria, arrived at Ellis Island, New York, on 14 June 1913 on the ship Amerika, sailing from Hamburg.
Michael Strachocki, born 1889, died 8 December 1977 in Detroit, Wayne County, Michigan.This is from the Michigan Death Index on www.familysearch.org
Michael Strachocki, born 1891 in Austria, married Katarine Sampson on 29 April 1923 in Hamtramck, Wayne County, Michigan.His father's name was Stephan, his mother was Maria Ceep.Katerine's father was Elijase, her mother was July Bardrinska.The image is on this page, fourth from the bottom: https://familysearch.org/pal:/MM9.3.1/TH-266-11110-176095-12?cc=1452395
Wasil Strachocki of Rossford, Wood County, Ohio, registered for the draft in 1942.The registration indicated that he had been born in Poland on 15 July 1893.The person who would always know his address was Mrs. Margaret Strochocki (I assume that's his wife).He worked for Libby-Owens-Ford in Rossford, Ohio.The draft registration image is here: https://familysearch.org/pal:/MM9.3.1/TH-266-11932-24949-98?cc=1861144
Michael Strachocki of Detroit, Wayne, Michigan, also registered for the draft in 1942.That registration indicated that he was born 14 October 1889 in Poland.The person who would always know his address was John Kostotonich of Detroit, Michigan.Michael worked for Udylite Corp of Detroit, Michigan.The image is here: https://familysearch.org/pal:/MM9.3.1/TH-1-16433-14719-82?cc=1861144
Birth dates were relatively fluid in the early part of the 20th century, so I have assumed that Micholaj and the various Michaels are the same person, and that Waysl and Wasil are the same person.You may have better knowledge of these people to help you make that determination.
All of this information was found through www.familysearch.org